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Department Seminar by Dr. Philippe Castagliola, Université de Nantes Export this event to calendar

Thursday, December 15, 2016 — 4:00 PM to 5:00 PM EST

Inflated Processes: Estimated Parameter Case and Extensions

Zero-inflated probability models are used to model count data that have an excessive number of zeros. Shewhart-type control charts have been proposed for the monitoring of zero-inflated processes. Usually their performance is evaluated under the assumption of known process parameters. However, in practice, their values are rarely known and they have to be estimated froman in-control historical Phase I sample. In this presentation, we investigate the performance of Shewhart-type control charts for zero-inflated processes with estimated parameters and propose practical guidelines for the statistical design of the examined charts, when the size of the preliminary sample is predetermined.


We also propose and study a two-parameter modification of the ordinary Poisson distribution that is suitable for the modeling of non-typical count data. This model can be viewed as an extension of the zero-inflated Poisson distribution. We derive the proposed model as a special case of a general one and focus our study on it. Three practical examples illustrate its usefulness. The results show that the proposed model is very flexible in the modeling of various types of count data.

Location 
Mathematics 3
M3 3127

,
Canada

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